The Wulff construction in statistical mechanics and combinatorics
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 56 (2001) no. 4, pp. 709-738

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Geometric solutions are presented for some variational problems of statistical mechanics and combinatorics, and the Wulff construction predicting crystal shapes is discussed along with a construction determining the shape of a typical Young diagram and a typical skyscraper.
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S. B. Shlosman. The Wulff construction in statistical mechanics and combinatorics. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 56 (2001) no. 4, pp. 709-738. http://geodesic.mathdoc.fr/item/RM_2001_56_4_a3/